Non-monotonic spaceships

[lukebradford]

Non-monotonic spaceships in Life include the 13-engine Cordership, non-monotonic spaceship 1, 233P3H1V0, and the weekender. Anybody have some cool examples in other rules?

In Live Free or Die, there are several p10 and p5 c/5 non-monotonic spaceships with the same front-end mechanism, the decade ship (below) and quintessential ships:

Code: Select all

x = 49, y = 18, rule = s0/b2
34bo$35bo$23bo23bo$3bo9bo15bobo16bo$6bo9bo7bob2obo6bo$obo6bo3bo9bo3bo
3bo13bo2bo$4b2o3bo3b2o5bo2b2o7b2o2b2o6b2obo$3bo2bo3b3obob3o8bobo6bo6bo
$2bo24bo3bo7bo$2bo24bo3bo7bo$3bo2bo3b3obob3o8bobo6bo6bo$4b2o3bo3b2o5bo
2b2o7b2o2b2o6b2obo$obo6bo3bo9bo3bo3bo13bo2bo$6bo9bo7bob2obo6bo$3bo9bo
15bobo16bo$23bo23bo$35bo$34bo!

[velcrorex]

Here's non-monotonic c/15 in B36/S345

Code: Select all

x = 11, y = 6, rule = B36/S345
4bobo$3b2ob2o$2b2o3b2o$o3bobo3bo$bob5obo$o2bobobo2bo!

Don't forget this 2c/6 non-monotonic in Life.

Code: Select all

x = 26, y = 22
19bo$16bobobo$5b3o7b4o$5boo11bo$7bobbobbobobo3bo$4b3obo4bobobobboo3bo$
4bo3bobobo11bo$7boboobo9bobo$b3obboobo10bobobo$obbob3obo9b3o$3bo5bo9b
3o$3bo5bo9b3o$obbob3obo9b3o$b3obboobo10bobobo$7boboobo9bobo$4bo3bobobo
11bo$4b3obo4bobobobboo3bo$7bobbobbobobo3bo$5boo11bo$5b3o7b4o$16bobobo$
19bo!

[Bullet51]

Code: Select all

x = 11, y = 43, rule = B35/S0245
bo7bo$5bo$b9o$3bo3bo$b2obobob2o$o9bo$bo2bobo2bo$o2bo3bo2bo$b3o3b3o$2bo
bobobo$2bo2bo2bo$3b5o$4bobo2$4b3o2$4b3o2$4b3o$5bo$2b7o$4bobo$4b3o$4b3o
$4bobo$3b5o$2bo2bo2bo$3b2ob2o$5bo$2bo5bo$3b2ob2o$3bobobo$2bob3obo$4b3o
$3bo3bo$2bo5bo$2b3ob3o$3bobobo$b3o3b3o$2ob5ob2o$2o7b2o$b4ob4o$3b5o!

Code: Select all

x = 19, y = 21, rule = B345/S27
9bo2$6b2o3b2o2$4bo2b2ob2o2bo$5b3o3b3o$7b2ob2o$6b3ob3o$6b3ob3o$3b4obobo
b4o$2b4o2bobo2b4o$b3o2b3ob3o2b3o$2bo5b3o5bo$3bo3bobobo3bo$4bo2b5o2bo$b
2ob4obob4ob2o$o3b3o5b3o3bo$b7obob7o$3bobo7bobo$3bobo7bobo$2b5o5b5o!

Code: Select all

x = 23, y = 33, rule = B346/S01
7bo7bo$8b2obob2o$7bobo3bobo$6b3o5b3o$5bo2bo5bo2bo$6b3o5b3o$5bobo7bobo$
11bo$4bobobobobobobobo$4bobo4bo4bobo$4bob2o7b2obo$8bobobobo$6bob2o3b2o
bo2$2bob3o3bobo3b3obo$3b2ob2o7b2ob2o$5b2obo5bob2o$5b2obo5bob2o$4bo13bo
$4bo13bo$6b2obo3bob2o$3bo2bo9bo2bo$6bobo5bobo$4b2o11b2o$8bobobobo$5bo
2bobobobo2bo$4bob3obobob3obo$4b2o4bobo4b2o$o3bobo4bo4bobo3bo$2bo3bob3o
b3obo3bo$7bo3bo3bo$8bo5bo$10b3o!

Code: Select all

x = 13, y = 28, rule = B378/S35678
4bobobo$2b2o2bo2b2o$4b5o$3bob3obo$2bo2b3o2bo$2b2ob3ob2o$2bob5obo$3b2o
3b2o$3b2o3b2o$6bo$5bobo2$4b5o$5b3o$4b5o$5b3o$3bo2bo2bo$3bo2bo2bo$bo2b
5o2bo$5b3o$b3ob3ob3o$bo2b5o2bo$o4b3o4bo$3o3bo3b3o$3ob2ob2ob3o$bobobobo
bobo$3b3ob3o$3b7o!

Code: Select all

x = 15, y = 11, rule = B345/S3
2b5ob5o$3o2b5o2b3o$bo4bobo4bo$o4b2ob2o4bo$bo4bobo4bo$2o3bobobo3b2o$4b
3ob3o$bo2bobobobo2bo$3b3o3b3o$3b2o5b2o$4b7o!

Code: Select all

x = 15, y = 41, rule = B346/S3
7bo$5b2ob2o$5bo3bo$4b3ob3o$4b2obob2o$4bo5bo2$4b7o2$4b2obob2o2$3bob2ob
2obo2$2bob2o3b2obo2$bobob5obobo2$b5obob5o2$bo2bo5bo2bo$b4obobob4o$o4bo
3bo4bo$4b7o$ob2o2bobo2b2obo$2bo4bo4bo$obobobobobobobo$o3bo2bo2bo3bo$3b
obo3bobo$b2o3bobo3b2o$2b4o3b4o$5bobobo$3b2obobob2o$3b2o5b2o$2bobobobob
obo$3b4ob4o$bobobo3bobobo$5bo3bo$4b2obob2o$6bobo$4b3ob3o$7bo!

Code: Select all

x = 9, y = 78, rule = B34678/S3578
2bo3bo$2bobobo$b7o$3b3o$b3ob3o$b7o$2b5o$2bobobo$4bo$3bobo$3bobo$bobobo
bo$3b3o$2o5b2o$b7o$o2bobo2bo$bobobobo$bobobobo$3o3b3o$2bo3bo$2obobob2o
$3b3o2$ob5obo$2b5o$2obobob2o$bo5bo$bobobobo$2b5o$2bobobo2$bobobobo$4bo
$2o5b2o$3bobo$b2o3b2o$3b3o$b2o3b2o$2b2ob2o$bob3obo$4bo$2bobobo$bo5bo$
2o2bo2b2o$4bo$obobobobo$bob3obo$3b3o$2b5o$b3ob3o$3bobo$2b5o$4bo$4bo$bo
5bo$3bobo$ob5obo$4bo$ob2ob2obo$2bobobo$bob3obo$4bo$b2obob2o2$2b5o$ob5o
bo$4bo$bo2bo2bo$bobobobo$2b2ob2o$3o3b3o$bo2bo2bo$3o3b3o$3bobo$bo5bo$2b
5o$b3ob3o$2bobobo!

Code: Select all

x = 17, y = 20, rule = B34/S26
4b2obobob2o$3b3o5b3o$3b2o3bo3b2o$6b5o$3b3o2bo2b3o$7b3o$2b2ob7ob2o$b3o
2b2ob2o2b3o$bobo2b5o2bobo$b2o3b5o3b2o$2bob3o3b3obo$o2b2obo3bob2o2bo$2b
o2b2o3b2o2bo$b3ob2o3b2ob3o$bobob7obobo$5bo5bo$2bo2b3ob3o2bo$4b4ob4o$7b
obo$8bo!

Code: Select all

x = 10, y = 45, rule = B3567/S3678
3bo2bo$2bob2obo$2b6o$2b6o$3b4o$2b6o$ob6obo$3b4o$2b6o$2b6o$bob4obo$3b4o
$2b6o$2b6o$2b6o$3b4o$bo6bo$2b6o$3bo2bo$4b2o$2bo4bo2$b3o2b3o$2b2o2b2o$b
2ob2ob2o$4b2o$2bo4bo$3bo2bo$3bo2bo$2bo4bo$obo4bobo$2bo4bo$3bo2bo$3b4o$
3b4o$2bob2obo$3bo2bo$b3o2b3o$b8o2$b8o2$2b6o$3bo2bo$4b2o!

Code: Select all

x = 9, y = 53, rule = B357/S1357
3bobo$2b2ob2o$3bobo$bobobobo$b2obob2o2$2bo3bo$bobobobo$bo5bo$3bobo$3b
3o3$3b3o2$4bo$2b5o$b2obob2o2$3bobo$3b3o$2bo3bo$2b2ob2o$3b3o$3b3o$3b3o$
3b3o$2b2ob2o$2b2ob2o$3b3o$2b2ob2o$3b3o$3bobo$3b3o2$4bo$bo2bo2bo$o2b3o
2bo$ob5obo2$obobobobo$2ob3ob2o$bo5bo$2b2ob2o$o7bo$b3ob3o$b2obob2o$3bob
o$4bo$2bo3bo$3bobo$2bo3bo$b7o!

Code: Select all

x = 11, y = 27, rule = B358/S135
bo7bo$2bo5bo$2obo3bob2o$b2o5b2o$3bo3bo$2bo5bo$2bobobobo$bo2bobo2bo$bob
2ob2obo$bo2b3o2bo$2b2o3b2o$4bobo$3b2ob2o$2b2o3b2o$3b2ob2o$3b2ob2o$3bo
3bo2$2b3ob3o$3b2ob2o$2b2obob2o2$bobo3bobo$b4ob4o$2bo2bo2bo$4bobo$5bo!

Code: Select all

x = 8, y = 41, rule = B368/S245
2bo$bobo2$2bo$2bo$bobobo$b4o$b2ob3o$3b3o$3bobo$bob3o$6b2o$2b2o$3bobobo
$4bobo$5bo$3bobo$2bo$2obo$b4o$2bo$2bobob2o$2bo2bo$3bob2o$bo3b2o$bo2b3o
$4b2o$2bo$b3o2$2b2o$4bo$3bo$b2obo2$o2b2o$bo4bo$3b2o$2o2bo$2bobo$2bobo!

Code: Select all

x = 13, y = 30, rule = B378/S35678
b3o5b3o$2bobo3bobo$3bo5bo$b4o3b4o$b5ob5o$2b3o3b3o$2b3o3b3o$b4o3b4o$b3o
bobob3o$5o3b5o$b3obobob3o$2b3o3b3o$3b2obob2o$2ob2o3b2ob2o$3b2o3b2o$bob
3ob3obo$3b2o3b2o$6bo$4bo3bo$4b2ob2o2$4bo3bo$6bo$5b3o$2bob5obo$2o3b3o3b
2o$obob5obobo$b3ob3ob3o$b2ob5ob2o$3b7o!

Code: Select all

x = 13, y = 50, rule = B3/S235
2bobo3bobo$b3o5b3o$b3o5b3o$b2o7b2o$2bo7bo$2bobo3bobo$5bobo$4bo3bo$4b2o
b2o$4b2ob2o$b3obobob3o$b3obobob3o$4b2ob2o$5bobo2$2o9b2o$b4o3b4o$2b2obo
bob2o$5bobo$2b2obobob2o$bo3bobo3bo$bo3bobo3bo$o2bo5bo2bo$bo4bo4bo$2bo
7bo$2o3b3o3b2o$bob7obo$2obo5bob2o$obob5obobo$bo2bobobo2bo$4bobobo$3bo
2bo2bo$6bo$4bo3bo$bo3bobo3bo$obo2bobo2bobo$bo3bobo3bo$2bobo3bobo$6bo2$
5b3o2$3bo5bo$3b2o3b2o2$4bo3bo$3bobobobo$2bo7bo2$3b3ob3o!

Code: Select all

x = 12, y = 27, rule = B35/S0246
$3bob2obo$b3ob2ob3o$2bo2b2o2bo$2b2o4b2o$3b2o2b2o$b4o2b4o$2b2o4b2o$b3o
4b3o$2b2o4b2o$3b6o$3bo4bo$2bobo2bobo$b2obo2bob2o$3bo4bo$4b4o$5b2o$4b4o
$5b2o$5b2o2$bo2b4o2bo$4b4o$4bo2bo$4bo2bo$4bo2bo$5b2o!

EDIT:

Code: Select all

x = 13, y = 9, rule = B35/S3468
2bo7bo$6bo$2o3bobo3b2o$b4o3b4o$bobobobobobo$2ob7ob2o$b3ob3ob3o$b2obobo
bob2o$4b5o!

Code: Select all

x = 8, y = 10, rule = B35/S3468
2b4o$3b2o$2b4o$b6o$2bo2bo$b2o2b2o$obo2bobo$2b4o$2b4o$2b4o!

Code: Select all

x = 12, y = 9, rule = B35/S3468
2bo6bo$bob2o2b2obo$o2b2o2b2o2bo$b2o2b2o2b2o$2b8o$b2ob4ob2o$2b2ob2ob2o$
5b2o$4b4o!

Code: Select all

x = 5, y = 8, rule = B3/S023
2ob2o2$o3bo2$2bo2$2bo$b3o!

Code: Select all

x = 16, y = 24, rule = B37/S25678
7b2o2$6b4o2$7b2o$3bo3b2o3bo$4b8o$4b8o$3b10o$2b2ob6ob2o$bo2b8o2bo$2b3o
2b2o2b3o$b4o2b2o2b4o$4bo2b2o2bo$bo2b2ob2ob2o2bo$2ob3ob2ob3ob2o$3o2bob
2obo2b3o$2b2o2b4o2b2o$6b4o$3bobob2obobo$3bob6obo$3bo8bo$4bobo2bobo$6b
4o!

[lukebradford]

@velcrorex, this one...

Code: Select all

x = 11, y = 6, rule = B36/S345
4bobo$3b2ob2o$2b2o3b2o$o3bobo3bo$bob5obo$o2bobobo2bo!

...falls back by three cells before moving forward again. Is that the "most non-monotonic" spaceship currently known?

[Scorbie]

There's codeholic's quasinatural c/98 spaceship that recedes 4 cells:

Code: Select all

x = 15, y = 15, rule = B36/S23
7bo$7bo3$3bo7bo$2bobo5bobo$b2o9b2o$b2o3bobo3b2o$b2o2b5o2b2o$bob2obobob
2obo$bob2o5b2obo$2b3o5b3o$b2o9b2o$2o11b2o$2o11b2o!

[gameoflifeboy]

This spaceship falls back two cells every 16 generations:

Code: Select all

x = 7, y = 5, rule = B3/S2456
bo3bo$2bobo$b2ob2o$b5o$o5bo!

[confocaloid]

This orthogonal 4c/19 spaceship is non-monotonic, there is one tick when the leading edge falls back 1 cell:

Code: Select all

x = 5, y = 9, rule = B3-y4c5e6e/S23-y5e6kn
b2o$b2obo$4o4$4o$b2obo$b2o!
#C [[ GRID ]]

Here is a p168 gun shooting that spaceship:

Code: Select all

x = 77, y = 69, rule = B3-y4c5e6e/S23-y5e6kn
67b2o$67b2o4$60b2o$61bo2b2o$8b2o50b2ob4o$8b2o46b2o2b4o2bo8b2o$56b2ob2o
2bobo9b2o$57b3o3bobo$23b2o37bo2bo$23bo39b3o$7bo13bobo40bo$6bobo12b2o
28b2o$2o23b2o24b2o$2o13bo9bo$13bobo7bobo25bo10bobo$7b3o4b2o7b2o25bobo
9b2o$7b2obo39bo2bo9bo$10bo40bo2bo$69b2o$9b2o40bo2bo14bo$9b2o40b2o12b2o
3b3o$65bo6bo$66b3o$68bo3$31b3o$18b2o11b2obo39b3o$14b2o2b2o2b2o18bo28bo
bo2bo$14bobo2bo2b2o10b3o4b3o27bo3b2o$15b3o18b2o2bobobo26bo2bo$16b2o17b
3ob3ob3o$36b2o2bobobo26bo2bo$24b2o8b3o4b3o27bo3b2o$23bobo16bo28bobo2bo
$23bo7b2obo39b3o$22b2o7b3o2$14bo$14b3o46bo$10bo6bo43b3o$10b3o3b2o12b2o
28bo6bo$13bo16b2o14b2o12b2o3b3o$12b2o32b2o16bo$64b2o$29b2o16bo$29b2obo
13bobo$32bo12bo2bo10bo$32bo11bo2bo10b2o$15b2o12bo2bo25bobo$16b2o12b2o
12bo2bo$15bo30b2o$19bo$19bo36bo2b2o$18b4o32bo2bob3o$6b2o9bo3b2o30bo4b
2obo$6b2o5b2o2b2o34bo3b3obo8b2o$12bo5bo34bo7bo8b2o$13b2o39bo5bo$55bo3b
o$56b2o3$14b2o$14b2o46b2o$62b2o!
#C [[ MAXGRIDSIZE 9 GRID THEME Catagolue ]]

The ear is a p256 oscillator in this cellular automaton.
Here is a small collection of glider guns of various periods that are multiples of 84 or 256 (p84, p168, p256, p420, p672, p1092, p2048, p5888, p16384):

Code: Select all

x = 965, y = 132, rule = B3-y4c5e6e/S23-y5e6kn
8b2o38b2o30b2o96b2o40b2o36b2o97b2o168b2o94bo93b2o244b2o$8b2o38b2o30b2o
96b2o40b2o36b2o97b2o168b2o94b3o91b2o244b2o$626bo28bo243b3o$625bobo25b
3o244bo$23b2o180b2o66b2o97b2o252bo25bo246bo2bo45b2o$23bo107b2o2b2o69bo
66bo29b2o67bo278bobo249bo43b2o$7bo13bobo70bo35bo5bo69bobo62bobo29b2o
65bobo279bo49b2o192bobo3b2o43b3o$6bo4b2o8b2o66bob2o36bo6bo70b2o9b2ob2o
48b2o89b3o5b2o255b2o73b2o192bob4o7bo34bo2bo$2o5bo3b2o12b2o13b2o46b5o2b
o33bobob3o34b2o31b2o8b2o4bo2bo5b2o20b2o23b2o72b2o11b3o9b2o251b2o40b2o
225bob4o7bo34bob2o3b2o$2o9bo3b2o8bo14b2o13bo32bo3b2obo33bob2obo35b2o
13bo18bo7bo7b2o6b2o20b2o7b2o14bo12b2o59b2o8b2o2bobo8bo275b2o17b2o41b4o
181b2o3bo6bo37b2ob3o$12b2ob2o6bobo22bo7bo2b2o29b2ob2o35bo47bo7bo2b2o
13bobo51b5o10bobo13bo70b2o2b2o6bobo120bo154b2o50bo9bob4o177bob2o2b3o
34b3o4bo4bo$23b2o22bobo4b3obo2bo28bo4bo81bobo4b3obo2bo13b2o4b2o2b2o40b
o3bo5bo5b2o14bobo9b2obo56bo10b2o120b2o3bo156bob2o41bob2o6b3o2b3o176bo
2b3o2bo43bo3bo$49b2o8b2o30bo2bo84b2o8b2o18b2o2b4o41b2o2bo5bo21b2o9bo4b
o161b2o23bobo4bo154bo2bob2o8bo29bo2b2o193bob3o41bobo4b3o$10bo37b2o43bo
84b2o30b2o3b2o41bo3bo3b3o17b2o13bobo2bo4b2o108b2o42b2o3bo22bobo3b2o
154bo13bobo30bo165b3obo24b3obo43bobo2bo2bo$11bo36bo15b2o112bo80bobo25b
o13bo3bo5b2o47bo60b2o41bo6bo17b3o3bo3bo155bo4bo7b2obo27bobo167bob3o72b
3obo$9b3o36bo2bo12bobo111bo2bo73b2o30bobo12bobo56bo102b3o2b3o16b2obo3b
o177bo26b2o6bo146b2o9bo2b3o2bo75b2o$49b2o14b3o111b2o75bo31b3obo10bo
165bo4b2o13bo4bo161bo2bo5b2o4bo28bo7b3o140b3obo10bob2o2b3o$66b2o189b4o
29b2o69bo44b2o62b4obo15b2o170bo7b3o34b2o140bobo2bo2bo9b2o3bo6bo$11bo
51b2o193b3o30bo69bo45bo62b3o2bo187bo41b2o142bobo4b3o8bob4o7bo$10bobo
12bo37b3o193bo32bo66bobo45bobo62bobo188bo41b2o145bo3bo10bob4o7bo$10bob
o13bo332bobo13bo4bo27b2o254bo2bo175b3o4bo4bo11bobo3b2o$11bo12b3o19b2o
76bo51b2o182bo15bo2bobo22b2o10bobo3b4o3b2o235b2o184b2ob3o16bo$47bo16b
2o59bo17b2o32bo196b3o2bobo23bo10b2o4b3o5bo418bob2o3b2o12bo2bo$44b3o3b
2o12b2o57b3o17b2o29b3o3b2o198bo24bobo9bo4bo426bo2bo18bo$44bo6bo9bo112b
o6bo9bo214b2o13b2o2b3obo98bo323b3o15b3o$48b3o11bo115b3o11bo5bobo174b2o
7b2o34b3ob2o100b3o85b2o236b2o$48bo11b3o115bo11b3o5b2o174bo2bo5bo2bo32b
o105bo88b2o237b2o$199bo175b2o7b2o33bob2o102b2o78bo301bo$420b3o97b2o82b
3o298b2o$380bo40bo98b2o82bo2bo298b2o$379bobo112bo$376bob2obo112b3o110b
2o$376b3obo116bo109b2o$375bobo118b2o109b2o3bo$611b3o3$271b2o338b3o$
271b2o78b2o259bo$351b2o170b2o$523b2o171b2o$697bo2b2o16bo$269b2o124bobo
296bo2b2ob2o14bobo$268bobo23bo100b2o128bo168b3o2b2o16b2o$268bo26bo100b
o127bobo176bobo$212bo54b2o24b3o229bo169bo4bo2b3o$213bo312b3o166b2obob
5o$211b3o314bo84b3o79bobo3bo$349b2o263bo81bo2bo$348bobo263bo82bo3b2o$
347b2o264b3o267b2o$348bobo259bo67b3o201bobo$350bo4bo253b2o67bo203bo$
349b2o4b2o6b2o314bo19bo181b2o$348bo5bobo6bobo243bo89bo$340b2o23bo109b
2o51bo77bo2bo89bo$340b2o23b2o104bo4bo49bobo77b3o$361b2o109bo2bobo26b2o
21b2o$361bobo108bo3b2o25bo112b2o$363bo15b2o93b2o2bo24bobo2b2o106b2o$
363b2o15bo97b2o22b2o2b2o$377b3o121b2ob2o133b2o$377bo39bo83b2o136b2o$
348b2o68bo253b2o$348b2o66b3o228bo24b2o237bo$646bobo263b2o$649bo15bo
245b2o$646bo2bo14b2o$646bo16b3o$646b3o314b2o$640b2o4b2o16bob2o295bo$
639b2o23bo2bo293bobo$450b2o188bob2o20bobo4b3o287b2o$450b2o189b3o26bo2b
o$669bo2b2o$669bobo$670bo8$696b3o2$934b3o$934bobo6bo$699b2o231b2o3bo4b
obo$696bo235b3o2bo3bo3bo$694bobo3bo231bobo2b2o3bobo$693bobobobo233b2ob
o23b2o$693b6o235b3o23b2o$694b3o3b4o231b2o$698bo4bo232bo$692b3o$693bobo
b2o3bo$694b2o3b2o$695bo2$600b2o339b2o$600b2o339b2o3$911b2o$910bobo$
910bo53bo$909b2o51bobo$963b2o6$895b2o$895b2o$928b2o$903b2o23b2o$902bo
2b2o$901b6o12b3o$901bo2b3o11bo4bo$896bo3b3o14bo5bo$895bobo3bo16bo$894b
o3bo3bo16bo2bobo3bo$894bo2b2o25bo2b3o$894b2o2b2o26bob3o$896bo2bo27bo2b
2o$898bo26bo2b3o$925bo3bo2$830b2o$830b2o!
#C [[ MAXGRIDSIZE 11 GRID THEME Catagolue ]]

[...]
In Live Free or Die, there are several p10 and p5 c/5 non-monotonic spaceships with the same front-end mechanism, the decade ship (below) and quintessential ships:

Code: Select all

x = 49, y = 18, rule = s0/b2
34bo$35bo$23bo23bo$3bo9bo15bobo16bo$6bo9bo7bob2obo6bo$obo6bo3bo9bo3bo
3bo13bo2bo$4b2o3bo3b2o5bo2b2o7b2o2b2o6b2obo$3bo2bo3b3obob3o8bobo6bo6bo
$2bo24bo3bo7bo$2bo24bo3bo7bo$3bo2bo3b3obob3o8bobo6bo6bo$4b2o3bo3b2o5bo
2b2o7b2o2b2o6b2obo$obo6bo3bo9bo3bo3bo13bo2bo$6bo9bo7bob2obo6bo$3bo9bo
15bobo16bo$23bo23bo$35bo$34bo!

The links no longer work, but the page happened to be preserved in the Wayback Machine. Here is the pattern from that page:

Code: Select all

#C Source: https://web.archive.org/web/20180325014029/http://lfod.wikispaces.com/quintessential%20ship#expand
#C > quintessential ship
#C > Any of several p5 c/5 spaceships with the same front-end mechanism.
#C > The quintessential ships and the decade ship are the only known
#C > non-monotonic spaceships in Live Free or Die: the leading edge
#C > of the ship falls back two cells from generation 1 to 2. The smallest
#C > quintessential ship, shown below, has a minimum population of 126 cells.
#C > Discovered by Josh Ball. Compare quintessential rake.
x = 50, y = 18, rule = B2/S0
35bo$o5bo29bo$9bo3bobo3bo4bo23bo$2bo13bobo11bobo16bo$2bo4bo17bob2obo6b
o$4b2o2bo4bo10bo3bo3bo13bo2bo$o5bob2o8bo2bo2b2o7b2o2b2o6b2obo$4bo2bobo
5b3obo8bobo6bo6bo$5bo8bo13bo3bo7bo$5bo8bo13bo3bo7bo$4bo2bobo5b3obo8bob
o6bo6bo$o5bob2o8bo2bo2b2o7b2o2b2o6b2obo$4b2o2bo4bo10bo3bo3bo13bo2bo$2b
o4bo17bob2obo6bo$2bo13bobo11bobo16bo$9bo3bobo3bo4bo23bo$o5bo29bo$35bo!

[Citation needed]

Code: Select all

#C 4P5H1V0 Non-monotonic (tlife)
x = 11, y = 8, rule = B3/S2-i34qHistory 
4.3B$4.3B$4.3B$4.3A$5.A3$11B!
[[ COLOR 2 255 0 255 STOP 19 ]]

Code: Select all

#C 8P128H6V0
x = 18, y = 38, rule = B3-cey4acknqtw5cky6ai7e/S2-ac3-ck4ejkqy5ckHistory
7.A$6.A2.A$6.A2.A$6.A2.A$7.3A33$18B!
[[ COLOR 2 255 0 255 STOP 634 ]]

[Citation needed]

Here is a very trivial way to assemble non-monotonic spaceships.

Code: Select all

x = 657, y = 242, rule = B3/S23
127b2o$126b4o398b2o$527b4o$125b6o$113b4o9b4o396b6o$113bo2bo410b4o9b4o $112b6o7b2o2b2o409bo2bo$123b2obo2bob2o393b2o2b2o7b6o$126bo2bo8b4o382b 2obo2bob2o$111bo2b2o2bo396b4o8bo2bo$111bob4obo19bo2bo396bo2b2o2bo$111b obo2bobo8b2o8bob2obo372bo2bo19bob4obo$127b2o8bo4bo33b4o334bob2obo8b2o 8bobo2bobo$477b4o33bo4bo8b2o$114b2o8bobo2bobo5bo4bo33bo2bo$114b2o7bo2b o2bo2bo4b2o2b2o32bob2obo296bo2bo33bo4bo5bobo2bobo8b2o$123bo8bo4b6o32b o4bo295bob2obo32b2o2b2o4bo2bo2bo2bo7b2o$111b2o4b2o4bo8bo5bo2bo334bo4b o32b6o4bo8bo$111b3o2b3o4b2o6b2o6b2o34bo4bo334bo2bo5bo8bo4b2o4b2o$110b o2bo2bo2bo5b6o8b2o34b2o2b2o295bo4bo34b2o6b2o6b2o4b3o2b3o$110b2ob4ob2o 55b6o295b2o2b2o34b2o8b6o5bo2bo2bo2bo$111b8o17b2o4b2o32bo2bo296b6o55b2o b4ob2o$136b2o4b2o33b2o298bo2bo32b2o4b2o17b8o$136b2o4b2o33b2o299b2o33b 2o4b2o$478b2o33b2o4b2o$138bo2bo$515bo2bo16$147bo$147b2o360bo$123b3o20b obo359b2o$508bobo20b3o2$17b2o$16b4o618b2o$637b4o$15b6o$3b4o9b4o12b2o602b 6o$3bo2bo24bo2bo588b2o12b4o9b4o$2b6o7b2o2b2o9b2o2b2o586bo2bo24bo2bo$13b 2obo2bob2o7b2o2b2o585b2o2b2o9b2o2b2o7b6o$16bo2bo10bob2obo585b2o2b2o7b 2obo2bob2o$bo2b2o2bo23b2o587bob2obo10bo2bo$bob4obo21bo4bo79b2o7b2ob2o 494b2o23bo2b2o2bo$bobo2bobo8b2o10b2o4b2o78b2o7b2ob2o399b2ob2o7b2o79bo 4bo21bob4obo$17b2o509b2ob2o7b2o78b2o4b2o10b2o8bobo2bobo$638b2o$4b2o8b obo2bobo10b2o$4b2o7bo2bo2bo2bo8bo2bo588b2o10bobo2bobo8b2o$13bo8bo8bo2b o587bo2bo8bo2bo2bo2bo7b2o$b2o4b2o4bo8bo599bo2bo8bo8bo$b3o2b3o4b2o6b2o 6b2o4b2o597bo8bo4b2o4b2o$o2bo2bo2bo5b6o7bo2bo2bo2bo53b2o2b2o27b2o494b 2o4b2o6b2o6b2o4b3o2b3o$2ob4ob2o18bo2bo2bo2bo53b2o2b2o27b2o405b2o27b2o 2b2o53bo2bo2bo2bo7b6o5bo2bo2bo2bo$b8o20bobo2bobo53b3o2b3o62bo370b2o27b 2o2b2o53bo2bo2bo2bo18b2ob4ob2o$25bo64b3o2b3o63b2o333bo62b3o2b3o53bobo 2bobo20b8o$27bo132b2o332b2o63b3o2b3o64bo$24b2o2bo61bo6bo397b2o132bo$90b o2b2o2bo41b2o2b2o414bo6bo61bo2b2o$91b6o42b2o2b2o367b2o2b2o41bo2b2o2bo $29b2o2b2o39b2o2b2o58b3o2b3o366b2o2b2o42b6o$26b3o4b2o39b2o2b2o44b3o11b 3o2b3o365b3o2b3o58b2o2b2o39b2o2b2o$13b2o11b3o7b2o35b3o2b3o12b2o31bo384b 3o2b3o11b3o44b2o2b2o39b2o4b3o$12bo13b2o10bo34b3o2b3o11bo2bo29bo12bo6b o384bo31b2o12b3o2b3o35b2o7b3o11b2o$12bo25bo53b4o42bo2b2o2bo365bo6bo12b o29bo2bo11b3o2b3o34bo10b2o13bo$17b3o11b3o39bo6bo10b2o2b2o42b6o366bo2b 2o2bo42b4o53bo25bo$13b3o19b3o35bo2b2o2bo7bo2bo4bo2bo17b2o393b6o42b2o2b 2o10bo6bo39b3o11b3o$15b4o13b4o38b6o11bo4bo19b2o2b2o416b2o17bo2bo4bo2b o7bo2b2o2bo35b3o19b3o$16b2o15b2o57b4o20bob4o19b2o392b2o2b2o19bo4bo11b 6o38b4o13b4o$17bo15bo54bo10bo16b3o21bo2bo370b2o19b4obo20b4o57b2o15b2o $76b2o11bo8bo17b2o2b2o18b4o369bo2bo21b3o16bo10bo54bo15bo$75bo2bo38b3o 2bo16b2o2b2o368b4o18b2o2b2o17bo8bo11b2o$75b4o14b2o22b2o2b3o12bo2bo4bo 2bo364b2o2b2o16bo2b3o38bo2bo$74b2o2b2o39bo2bo16bo4bo364bo2bo4bo2bo12b 3o2b2o22b2o14b4o$71bo2bo4bo2bo36b3o18b4o368bo4bo16bo2bo39b2o2b2o$74bo 4bo40bo15bo10bo365b4o18b3o36bo2bo4bo2bo$75b4o58bo8bo362bo10bo15bo40bo 4bo$71bo10bo427bo8bo58b4o$72bo8bo59b2o431bo10bo$514b2o59bo8bo$76b2o$579b 2o10$123b3o$531b3o9$73b2o2b2o$73b2o2b2o499b2o2b2o$72b3o2b3o498b2o2b2o $72b3o2b3o35b2o7b2ob2o448b3o2b3o$115b2o7b2ob2o399b2ob2o7b2o35b3o2b3o$ 72bo6bo448b2ob2o7b2o$72bo2b2o2bo497bo6bo$73b6o498bo2b2o2bo$578b6o2$75b 2o$74bo2bo502b2o$74b4o46b2o453bo2bo$73b2o2b2o45b2o405b2o46b4o$70bo2bo 4bo2bo449b2o45b2o2b2o$73bo4bo496bo2bo4bo2bo$74b4o500bo4bo$70bo10bo497b 4o$71bo8bo494bo10bo$576bo8bo$75b2o$580b2o5$86b2o$86b2o481b2o$569b2o3$ 94b2o$94b2o30b2o433b2o$126b2o401b2o30b2o$529b2o5$94b2o$94b2o465b2o$107b 2o452b2o$106b4o438b2o$547b4o$105b6o$106b4o436b6o$547b4o$105b2o2b2o$86b 2o15b2obo2bob2o433b2o2b2o$86b2o18bo2bo434b2obo2bob2o15b2o$99b2o446bo2b o18b2o$99b2o22b3o430b2o$107b2o422b3o22b2o$107b2o439b2o$548b2o$104bobo 2bobo$103bo2bo2bo2bo432bobo2bobo$103bo8bo431bo2bo2bo2bo$103bo8bo431bo 8bo$103b2o6b2o431bo8bo$105b6o433b2o6b2o$546b6o2$114b4o$114bo2bo6b2ob2o 410b4o$113b6o5b2ob2o399b2ob2o6bo2bo$528b2ob2o5b6o$101b4o$101bo2bo7bo2b 2o2bo432b4o$100b6o6bob4obo417bo2b2o2bo7bo2bo$112bobo2bobo417bob4obo6b 6o$537bobo2bobo$99bo2b2o2bo$99bob4obo8b2o7b2o424bo2b2o2bo$99bobo2bobo 8b2o7b2o405b2o7b2o8bob4obo$531b2o7b2o8bobo2bobo$112b2o4b2o$102b2o8b3o 2b3o417b2o4b2o$102b2o7bo2bo2bo2bo416b3o2b3o8b2o$111b2ob4ob2o415bo2bo2b o2bo7b2o$99b2o4b2o5b8o416b2ob4ob2o$99b3o2b3o430b8o5b2o4b2o$98bo2bo2bo 2bo442b3o2b3o$98b2ob4ob2o441bo2bo2bo2bo$99b8o442b2ob4ob2o$550b8o2$86b 2o28b2o17b2o116b4o$86b2o6b2o18b2o2b2o13b2o2b2o261b4o116b2o17b2o28b2o$ 92b2o2b2o18b2o17b2o116bo2bo261b2o2b2o13b2o2b2o18b2o6b2o$94b2o17bo6bo11b o6bo112bob2obo142bo2bo116b2o17b2o18b2o2b2o$50b2o39bo6bo15bo4bo13bo4bo 113bo4bo141bob2obo112bo6bo11bo6bo17b2o$49bo2bo39bo4bo18b2o17b2o262bo4b o113bo4bo13bo4bo15bo6bo39b2o$48b2o2b2o40b2o17b3o2b3o5b2o4b3o2b3o112bo 4bo262b2o17b2o18bo4bo39bo2bo$48b2o2b2o37b3o2b3o14b2o4b2o5b2o4b2o4b2o112b 2o2b2o141bo4bo112b3o2b3o4b2o5b3o2b3o17b2o40b2o2b2o$48bob2obo37b2o4b2o 153b6o141b2o2b2o112b2o4b2o4b2o5b2o4b2o14b3o2b3o37b2o2b2o$50b2o201bo2b o142b6o153b2o4b2o37bob2obo$48bo4bo62b2o17b2o117b2o144bo2bo201b2o$47b2o 4b2o39b2o19bo2bo15bo2bo116b2o145b2o117b2o17b2o62bo4bo$93bo2bo304b2o116b o2bo15bo2bo19b2o39b2o4b2o$114bo4bo13bo4bo421bo2bo$50b2o40bo4bo15b2o4b 2o11b2o4b2o378bo4bo13bo4bo$49bo2bo38b2o4b2o13bo2bo2bo2bo9bo2bo2bo2bo376b 2o4b2o11b2o4b2o15bo4bo40b2o$49bo2bo37bo2bo2bo2bo12b2ob4ob2o9b2ob4ob2o 375bo2bo2bo2bo9bo2bo2bo2bo13b2o4b2o38bo2bo$90b2ob4ob2o14bo4bo13bo4bo377b 2ob4ob2o9b2ob4ob2o12bo2bo2bo2bo37bo2bo$92bo4bo420bo4bo13bo4bo14b2ob4o b2o$559bo4bo2$134b2o$134b2o385b2o$133bo2bo384b2o$133b4o383bo2bo$132bo b2obo382b4o$133bo2bo382bob2obo$520bo2bo$132b2o2b2o$131bo6bo380b2o2b2o $518bo6bo$132bo4bo$133bo2bo382bo4bo$134b2o384bo2bo$521b2o$131b2o4b2o$ 130bo2bo2bo2bo378b2o4b2o$131b2o4b2o378bo2bo2bo2bo$132bo4bo380b2o4b2o$ 519bo4bo!
[[ STOP 1418 ]]

EDIT: I'm sorry. This one is in Life.

[Citation needed]

This one was a result of rulegolfing.

yes!!! (6c/66o or c/11o) (i shall call it the Queen T)

Code: Select all

x = 3, y = 2, rule = B34z/S236c
bo$3o!

[confocaloid]

Added 7WSS, glider 3736, p9 figure eight, and an evolutionary sequence settling into four gliders escaping in different directions:

Code: Select all

#C Two-state isotropic cellular automaton, defined using a weighted neighbourhood
#C [[ GRID THEME MCell ]]
x = 81, y = 40, rule = R3,C0,S10-19,30-39,50-59,70,75-79,135-144,155-164,175-184,200-204,245,260-269,280-289,300-309,325-329,385-394,405-414,425-434,450-454,510-519,530-539,550-559,571,573,575-579,635-644,655-664,675-684,700-704,760-769,780-789,800-809,825-829,885-894,905-914,925-934,950-954,1010-1019,1030-1039,1050-1060,1075-1079,1135-1144,1155-1164,1175-1184,1200-1204,1260-1269,1280-1289,1300-1309,1325-1329,1385-1394,1405-1414,1425-1434,1450-1454,1510-1519,1530-1539,1550-1559,1575-1579,1635-1644,1655-1664,1675-1684,1700-1704,1760-1769,1780-1789,1800-1809,1825-1829,1885-1894,1905-1914,1925-1934,1950-1954,2010-2019,2030-2039,2050-2059,2075-2079,B15-19,35-39,55-57,59,75-79,140-144,160-164,180-184,200-204,265-269,285-289,305-309,311,325-329,390-394,410-414,430-434,440,450-454,461,515-519,535-539,555-559,575-579,640-644,660-664,680-684,691,700-704,765-769,785-789,805-809,825-829,890-894,910-914,930-934,950-954,1015-1019,1035-1039,1055-1059,1075-1079,1086,1140-1144,1160-1164,1180-1184,1200-1204,1265-1269,1285-1289,1305-1309,1325-1329,1390-1394,1410-1414,1430-1434,1450-1454,1515-1519,1535-1539,1555-1559,1575-1579,1640-1644,1660-1664,1680-1684,1700-1704,1765-1769,1785-1789,1805-1809,1825-1829,1890-1894,1910-1914,1930-1934,1950-1954,2015-2019,2035-2039,2055-2059,2075-2079,NW00000001000000007D7D7D7D7D00007D1905197D00017D0500057D01007D1905197D00007D7D7D7D7D0000000001000000
76bo2bo$80bo$76bo3bo$77b4o$53bo$52bobo$51b2ob2o$51bo3bo$51bo3bo$52bobo
$52bobo$52b3o22bo$52b3o20bo3bo$80bo$75bo4bo$76b5o$3o28b3o$3o28b3o$31b
3o$28b3o$3o25b3o$3o25b3o2$76b2o$74bo4bo$80bo$74bo5bo$75b6o8$45bo14b3o
12b3o$46bo11bo4bo9bo5bo$44b3o12b2o3bo15bo$58bo4bo9bo6bo$60b3o11b7o!

Neighbour weights (in hexadecimal; '19' means 25; '7D' means 125):

Code: Select all

-- -- -- 01 -- -- --
-- 7D 7D 7D 7D 7D --
-- 7D 19 05 19 7D --
01 7D 05 -- 05 7D 01
-- 7D 19 05 19 7D --
-- 7D 7D 7D 7D 7D --
-- -- -- 01 -- -- --

All shown evolutionary sequences are preserved in 2^3493 cellular automata with the same weighted neighbourhood:

optional birth conditions (1689): 5, 7-9, 11, 13-15, 17-19, 21-24, 27-29, 32-35, 38-41, 43-49, 51, 53-54, 57, 59, 62-64, 66-124, 128-129, 133-134, 138-139, 141-144, 146-149, 154, 158-159, 163-164, 167-169, 171-174, 178-179, 182-185, 187, 189, 192-249, 259, 264, 266-269, 271-274, 278-279, 284, 289-290, 293-299, 303-304, 309, 313-314, 318-324, 326-329, 331-334, 337-339, 341-346, 348-349, 353-354, 356-374, 379, 389, 392-394, 396-399, 404, 409, 414, 418-421, 423-424, 427, 429, 434, 438-439, 442-449, 453-454, 456, 458-459, 462-484, 486-499, 509, 523-524, 528-529, 534, 538-539, 541, 543-545, 547-549, 553-554, 559, 564, 567-569, 571-574, 577-579, 582-585, 587-589, 592-599, 601-605, 607-609, 612-614, 616-619, 621-624, 629, 638-639, 642-649, 654, 659, 663-664, 668-674, 678-679, 683-684, 688-690, 693-694, 697-699, 701-705, 707-709, 712-719, 721-729, 731-739, 741-749, 754, 759, 763-764, 767-771, 773-774, 777-779, 783-784, 789-790, 793-799, 803-804, 809, 813-814, 817-819, 821, 824, 826-829, 831-835, 837-845, 847-849, 851-854, 856-861, 863-865, 867-874, 879-880, 882, 884, 887, 889, 891-899, 903-904, 907-909, 913-916, 918-924, 927-929, 934, 938-939, 941-946, 948-954, 957-959, 961, 963-965, 967-979, 982-990, 993-999, 1004, 1006, 1008-1011, 1013-1024, 1027-1030, 1032-1035, 1038-1040, 1042-1049, 1053, 1055, 1059-1060, 1064-1065, 1067-1074, 1076-1080, 1082-1085, 1087-1099, 1101-1109, 1113-1124, 1129-1130, 1132-1149, 1151-1160, 1162-1165, 1167-1174, 1176-1177, 1179-1181, 1184, 1186, 1188-1189, 1191, 1193-1224, 1226-1234, 1236-1249, 1251, 1254-1285, 1287-1289, 1291-1299, 1303-1309, 1311, 1313-1340, 1342-1359, 1363-1375, 1377-1434, 1436-1465, 1467-1487, 1489-1499, 1501-1522, 1525-1549, 1552-1559, 1562-1799, 1801-1802, 1804-1809, 1811-1852, 1854-2124
optional survival conditions (1804): 0-4, 8-9, 12-14, 16-30, 32-34, 37-49, 53-54, 56-59, 61-64, 67-69, 71-119, 121-124, 127-129, 133-134, 137-149, 153-154, 157-159, 162-164, 168-174, 178-179, 183-184, 187-189, 192-220, 222-229, 232-240, 242-244, 246-249, 253-254, 258-259, 263-264, 267-274, 277, 279, 282-284, 288-289, 294-299, 303-304, 307-309, 314, 318-324, 326, 328-334, 336-339, 341-364, 367-374, 376-379, 383-384, 389, 393-396, 398-399, 402-404, 408-409, 413-414, 418-420, 422-424, 428-429, 433-434, 438-439, 443-446, 448-449, 451-454, 457-459, 461-470, 472-485, 487-490, 492-494, 497-499, 502-504, 509, 512-515, 517-518, 521-524, 528-529, 533-534, 538-539, 541, 543-549, 553-554, 558-559, 563-564, 567, 569, 572, 574, 576, 578-579, 582-584, 588-590, 592-595, 597-615, 617-619, 621-624, 626, 628-629, 632-634, 638-640, 643-649, 652-654, 658-659, 663-664, 668-674, 677-679, 684, 688-689, 693-699, 702-704, 706-710, 713-714, 716-724, 726, 728-734, 736-745, 747-751, 754-759, 762-765, 767-770, 772-775, 777-780, 783-784, 787-790, 794-799, 801, 803-804, 808-809, 813-814, 819-824, 826-829, 833-834, 837-840, 842-844, 846-849, 851-871, 873-874, 876-879, 882-885, 887-889, 891-905, 907-909, 914, 918-920, 922-926, 928-929, 932-934, 938-939, 942, 944-954, 956-966, 968-970, 973-981, 983-1004, 1006-1017, 1019-1030, 1032-1034, 1036-1040, 1042-1055, 1057-1059, 1063-1064, 1068-1085, 1087-1105, 1108-1161, 1163-1185, 1188-1191, 1193-1210, 1213-1231, 1233-1285, 1287-1310, 1312-1314, 1316, 1318-1412, 1414-1432, 1434-1460, 1462-1636, 1638-2124

[Citation needed]

This rule is relatively new.

Code: Select all

x = 1, y = 1, rule = b3/s23-a5
3o$bo!
[[ STOP 4 ]]

[ThePlayzr]

This rule is relatively new.

Code: Select all

x = 1, y = 1, rule = b3/s23-a5
3o$bo!
[[ STOP 4 ]]

I made that rule
also, here is a c/5 one from the same rule (although it is much bigger)

Code: Select all

 x = 0, y = 0, rule = b3s23-a5
2o2b2ob2o2b2o$ob2obobob2obo$5bobo$bo3bobo3bo$5bobo$4b2ob2o$2bobo3bobo$2ob3ob3ob2o$bo4bo4bo$4b5o$2bo7bo$3bo2bo2bo$2bobobobobo$5b3o$bobo5bobo$b2o7b2o$2bo7bo$bo9bo$2bo7bo$2b2o5b2o$2bo7bo!